Abstract—In this paper, a mathematical model of dengue fever with two strains is developed. Analysis of the model reveals the existence of four equilibrium points, which belong to the region of biological interest. One of the equilibrium points corresponds to the disease–free state, the other three equilibria correspond to the two states where just one strain is present, and the state where both strain coexist, respectively. The model has a local asymptotically stable, disease-free equilibrium (DFE) wherever the maximum of the associated reproduction numbers of the two strains (denoted by R₀^s ) is less than unity. The proposed model is used to forecast transmission dengue in Thailand.

Index Terms—Dengue, strains, reproduction number, mathematical model, Thailand.

The authors are with the Department of Mathematics, King Mongkut’s University of Technology Thonburi, Thung Khru, Bangkok 10140 Thailand (e-mail: sutawas.j@gmail.com, iwirwong@kmutt.ac.th).

Cite: Sutawas Janreung and Wirawan Chinviriyasit, "Dengue Fever with Two Strains in Thailand," International Journal of Applied Physics and Mathematics vol. 4, no. 1, pp. 55-61, 2014.